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Finding the Third Proportional to 12,365.58 and 29,160.98

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Solution

The third proportional to 12,365.58 and 29,160.98 is: 68,768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.58 : 29,160.98 = 29,160.98 : x
  2. Step 2: Convert to fraction form
    12,365.58/29,160.98 = 29,160.98/x
  3. Step 3: Cross multiply
    12,365.58x = 29,160.98 × 29,160.98
  4. Step 4: Simplify right side
    12,365.58x = 850,363,009.72
  5. Step 5: Solve for x
    x = 850,363,009.72/12,365.58
  6. Step 6: Final answer
    x = 68,768.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.